Question

A linear function is represented below.

Which function has a greater y-intercept than the function in the table?

A. y = 4x

B. y = –2x

C. y = –x – 1

D. y = –0.5x + 5


here is the chart it wouldn't let me do a screenshot:

X, Y
-2,-6
0 0
3 9

Answer 1

D

Explanation:

Sorry if I'm late for the party, hope this helps anyways! :)

Answer 2

D. y = –0.5x + 5

In this chart, the slope, (m):

`\sf (y_2-y_1)/(x_2-x_1)}`

`\hookrightarrow \sf (-6-0)/(-2-0)`

`\hookrightarrow \sf (-6)/(-2)`

`\hookrightarrow \sf 3`

Equation:

`\sf y_1-y= m(x_1-x)`

`\hookrightarrow \sf y-(-6)= 3(x-(-2))`

`\hookrightarrow \sf y+6= 3x+6`

`\hookrightarrow \sf y+6-6= 3x+6-6`

`\hookrightarrow \sf y= 3x`

⇒ Thus we found in the chart, the slope is 3 and y-intercept : 0

• A = y-intercept : 0

• B = y-intercept : 0

• C = y-intercept : -1

• D = y-intercept : 5

From this D only has the greatest y-intercept than the chart.